Activity 9: Rates of Change

Rate of change

Vertical change over horizontal change

Change in y over change in x

Change in x over change in y

Horizontal change over vertical change

x

y

origin

height

x

y

origin

length

$y_2-y_1$

$x_2-x_1$

$y_2-y_1$

$x_2-x_1$

$\frac{\left(-4\ -\ 3\right)}{5\ -\ \left(-2\right)}$

$\frac{\left(3\ -\ \left(-4\right)\right)}{5\ -\ \left(-2\right)}$

$\frac{\left(5\ -\ \left(-2\right)\right)}{-4\ -\ 3}$

$\frac{\left(-4\ -\ 5\right)}{3\ -\ \left(-2\right)}$

$-\frac{2}{3}$

$-\frac{3}{2}$

$\frac{2}{3}$

$\frac{3}{2}$

Number of years

Amount of money given to the zoo

Number of visits

Membership fee

Number of years

Amount of money given to the zoo

Number of visits

Membership fee

$f\left(x\right)=50+6x$

$f\left(x\right)=6+50x$

$6x=f\left(x\right)\ +\ 50$

$50=f\left(x\right)+6x$